Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 173/59, 860/29, 639/726 quickly i.e. 95070420 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 173/59, 860/29, 639/726 is 95070420.
LCM(173/59, 860/29, 639/726) = 95070420
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 173/59,860/29,639/726
Formula to find LCM of Fractions is
LCM = LCM of Numerators/GCF of Denominators
As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators
In the given fractions LCM of Numerators means LCM of 173,860,639
Least Common Multiple of Numerators i.e. LCM of 173,860,639 is 95070420.
GCF of Denominators means GCF of 59,29,726 as per the given fractions.
GCF of 59,29,726 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 173,860,639
Given numbers has no common factors except 1. So, there LCM is their product i.e 95070420
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 173,860,639 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(173,860,639) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(173,860,639) x common factors =1 x 1 = 1
LCM(173,860,639) = ( 173 × 860 × 639 ) / 1
LCM(173,860,639) = 95070420 / 1
LCM(173,860,639) = 95070420
Lets's calculate GCF of 59,29,726
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 95070420/1
Therefore the LCM of Fractions 173/59,860/29,639/726 is 95070420
Factors of 59
List of positive integer factors of 59 that divides 59 without a remainder.
1,59
Factors of 29
List of positive integer factors of 29 that divides 29 without a remainder.
1,29
Factors of 726
List of positive integer factors of 726 that divides 726 without a remainder.
1,2,3,6,11,22,33,66,121,242,363,726
Greatest Common Factor
We found the factors 59,29,726 . The biggest common factor number is the GCF number.
So the greatest common factor 59,29,726 is 1.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
1. How to find LCM in Fractions?
Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.
2. What is the LCM of Fractions for 173/59, 860/29, 639/726?
Answer: LCM of Numerators as per given numbers 173/59, 860/29, 639/726 is
LCM of Numerators i.e. for 173,860,639 is 95070420
GCF of denominators i.e. for 59,29,726 is 1.
Thus, LCM of Fractions is 95070420.Finally, LCM of Fractions for 173/59, 860/29, 639/726 is 95070420.